Numerical Methods for Nonlinear Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Numerical Methods for Nonlinear Partial Differential Equations by Sören Bartels, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sören Bartels ISBN: 9783319137971
Publisher: Springer International Publishing Publication: January 19, 2015
Imprint: Springer Language: English
Author: Sören Bartels
ISBN: 9783319137971
Publisher: Springer International Publishing
Publication: January 19, 2015
Imprint: Springer
Language: English

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

More books from Springer International Publishing

Cover of the book The Equationally-Defined Commutator by Sören Bartels
Cover of the book Networked Systems by Sören Bartels
Cover of the book Republican Orators from Eisenhower to Trump by Sören Bartels
Cover of the book Periglacial Preconditioning of Debris Flows in the Southern Alps, New Zealand by Sören Bartels
Cover of the book PET/CT in Neuroendocrine Tumors by Sören Bartels
Cover of the book Current Conveyors by Sören Bartels
Cover of the book Computational Intelligence in Information Systems by Sören Bartels
Cover of the book Literature, Pedagogy, and Curriculum in Secondary Education by Sören Bartels
Cover of the book Optical Network Design and Planning by Sören Bartels
Cover of the book Intelligent Information and Database Systems by Sören Bartels
Cover of the book Urban Planning in the Global South by Sören Bartels
Cover of the book Future Data and Security Engineering by Sören Bartels
Cover of the book Obstetrics Essentials by Sören Bartels
Cover of the book Dynamics of Coupled Structures, Volume 4 by Sören Bartels
Cover of the book Career Skills for Surgeons by Sören Bartels
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy